User:Lériendil/ET harmonic testing page: Difference between revisions

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==Harmonics==
==Harmonics==
{{Harmonics in equal|46|5|3|prec=2|columns=15|intervals=prime}}
{{Harmonics in equal|46|5|3|prec=2|columns=15|intervals=prime}}
{{Harmonics in equal|139|3|1|prec=2|columns=15|intervals=odd}}
{{Harmonics in equal|139|3|1|prec=2|columns=15|intervals=prime}}
{{Harmonics in equal|152|7|3|prec=2|columns=15|intervals=odd}}
{{Harmonics in equal|152|7|3|prec=2|columns=15|intervals=odd}}
{{Harmonics in equal|6181|3|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|6181|3|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|2380|2|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|2380|2|1|prec=4|columns=15|intervals=prime}}

Revision as of 20:08, 27 August 2025

Interval information
Name deciennealimma

Harmonics

Approximation of prime harmonics in 46ed5/3
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) -8.04 +1.34 +1.34 -4.42 +1.32 +0.49 -2.53 -2.84 -6.77 -4.34 -4.45 -3.16 -7.85 +5.82 +5.63
Relative (%) -41.8 +7.0 +7.0 -23.0 +6.9 +2.6 -13.2 -14.8 -35.2 -22.6 -23.2 -16.4 -40.8 +30.3 +29.3
Steps
(reduced)
62
(16)
99
(7)
145
(7)
175
(37)
216
(32)
231
(1)
255
(25)
265
(35)
282
(6)
303
(27)
309
(33)
325
(3)
334
(12)
339
(17)
347
(25)
Approximation of prime harmonics in 139edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +4.12 +0.00 +5.04 -2.78 -5.33 +6.49 -6.40 +6.29 +3.93 -0.56 -6.56 +1.85 +2.01 +1.65 -1.82
Relative (%) +30.1 +0.0 +36.9 -20.3 -39.0 +47.4 -46.7 +46.0 +28.7 -4.1 -47.9 +13.5 +14.7 +12.1 -13.3
Steps
(reduced)
88
(88)
139
(0)
204
(65)
246
(107)
303
(25)
325
(47)
358
(80)
373
(95)
397
(119)
426
(9)
434
(17)
457
(40)
470
(53)
476
(59)
487
(70)
Approximation of odd harmonics in 152ed7/3
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
Error Absolute (¢) -0.81 +2.67 -0.81 -1.63 -1.62 -1.31 +1.86 -2.52 -2.07 -1.63 -4.71 -4.31 -2.44 -0.70 -0.35
Relative (%) -8.4 +27.7 -8.4 -16.9 -16.8 -13.6 +19.3 -26.1 -21.4 -16.9 -48.8 -44.6 -25.3 -7.2 -3.6
Steps
(reduced)
197
(45)
289
(137)
349
(45)
394
(90)
430
(126)
460
(4)
486
(30)
508
(52)
528
(72)
546
(90)
562
(106)
577
(121)
591
(135)
604
(148)
616
(8)
Approximation of prime harmonics in 6181edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.0687 +0.0000 -0.0004 -0.0177 -0.0034 +0.0342 -0.0593 +0.0095 +0.0363 -0.0128 -0.0800 +0.0906 -0.0791 -0.0681 +0.1056
Relative (%) +22.3 +0.0 -0.1 -5.8 -1.1 +11.1 -19.3 +3.1 +11.8 -4.2 -26.0 +29.5 -25.7 -22.1 +34.3
Steps
(reduced)
3900
(3900)
6181
(0)
9055
(2874)
10948
(4767)
13491
(1129)
14431
(2069)
15940
(3578)
16566
(4204)
17641
(5279)
18945
(402)
19320
(777)
20316
(1773)
20893
(2350)
21161
(2618)
21662
(3119)
Approximation of prime harmonics in 2380edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.0000 -0.1063 -0.0952 +0.2497 -0.2255 -0.0235 -0.0815 -0.0340 -0.0391 +0.0026 +0.0064 -0.2516 +0.0132 +0.2470 +0.0396
Relative (%) +0.0 -21.1 -18.9 +49.5 -44.7 -4.7 -16.2 -6.7 -7.7 +0.5 +1.3 -49.9 +2.6 +49.0 +7.9
Steps
(reduced)
2380
(0)
3772
(1392)
5526
(766)
6682
(1922)
8233
(1093)
8807
(1667)
9728
(208)
10110
(590)
10766
(1246)
11562
(2042)
11791
(2271)
12398
(498)
12751
(851)
12915
(1015)
13220
(1320)